Applications of vectors - displacement and velocity
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Find the displacement vector in component form for a particle that moves from point \(A(2,6)\) to point \(B(3,-1)\)
\begin{align}
&A(2,6),\ B(3,-1)\\
&\begin{aligned}
\overrightarrow{OA}&=2 i+6 j,\\
\overrightarrow{O B}&=3 i-\dot{j}\\
\overrightarrow{O A}+\overrightarrow{A B}&=\overrightarrow{O B}\\
\overrightarrow{A B}&=\overrightarrow{O B}-\overrightarrow{O A}\\
&=3 i-j-(2 i+6 j)\\
\overrightarrow{A B}&=i-7 j\end{aligned}
\end{align}
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